Home / 1,177.78-1,764.66-801.82

Finding the Fourth Proportional to 1,177.78, 1,764.66 and 801.82

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Solution

The fourth proportional to 1,177.78, 1,764.66 and 801.82 is: 1,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.78 : 1,764.66 = 801.82 : x
  2. Step 2: Convert to fraction form
    1,177.78/1,764.66 = 801.82/x
  3. Step 3: Cross multiply
    1,177.78x = 1,764.66 × 801.82
  4. Step 4: Simplify right side
    1,177.78x = 1,414,939.68
  5. Step 5: Solve for x
    x = 1,414,939.68/1,177.78
  6. Step 6: Final answer
    x = 1,201.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.